Nontopological fractional fermion number in the Jackiw-Rossi model C. Almeida, A. Alonso-Izquierdo, R. Fresneda [et al.]
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ArticleContent type: Текст Media type: электронный Subject(s): фермионное число | Джекива-Росси модельGenre/Form: статьи в журналах Online resources: Click here to access online
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Physical Review D Vol. 103, № 12. P. 125015-1-125015-7Abstract: We compute the vacuum fermion current in the (2 + 1) dimensional Jackiw-Rossi model by using the 1/m expansion. The current is expressed through a weighted η-function with a matrix weight. In the presence of such a weight, the usual proof of topological nature of ηð0Þ is no longer applicable. Direct computations confirm the following surprising result; the fermion number induced by vortices in the Jackiw-Rossi model is not topological.
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We compute the vacuum fermion current in the (2 + 1) dimensional Jackiw-Rossi model by using the 1/m expansion. The current is expressed through a weighted η-function with a matrix weight. In the presence of such a weight, the usual proof of topological nature of ηð0Þ is no longer applicable. Direct computations confirm the following surprising result; the fermion number induced by vortices in the Jackiw-Rossi model is not topological.
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